Existence and uniqueness of weak and classical solutions for a fourth-order semilinear boundary value problem

Cristian Paul Danet

doi:10.21914/anziamj.v61i0.14117

Authors

Cristian Paul Danet Department of Applied Mathematics, University of Craiova.

DOI:

https://doi.org/10.21914/anziamj.v61i0.14117

Keywords:

fourth order, maximum principle, plate theory, Paneitz-Branson operator.

Abstract

This paper is concerned with the problem of existence and uniqueness of weak and classical solutions for a fourth-order semilinear boundary value problem. The existence and uniqueness for weak solutions follows from standard variational methods, while similar uniqueness results for classical solutions are derived using maximum principles. doi:10.1017/S1446181119000129

Author Biography

Cristian Paul Danet, Department of Applied Mathematics, University of Craiova.

Department of Applied Mathematics, University of Craiova, Al. I. Cuza St., 13, 200585 Craiova, Romania.